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Incremental methods for structure learning of pairwise Markov random fields (MRFs), such as grafting, improve scalability by avoiding inference over the entire feature space in each optimization step. Instead, inference is performed over an…

Machine Learning · Computer Science 2018-05-22 Walid Chaabene , Bert Huang

This paper considers the problem of matrix completion when some number of the columns are completely and arbitrarily corrupted, potentially by a malicious adversary. It is well-known that standard algorithms for matrix completion can return…

Machine Learning · Statistics 2016-04-26 Yudong Chen , Huan Xu , Constantine Caramanis , Sujay Sanghavi

Large-scale population-based studies in medicine are a key resource towards better diagnosis, monitoring, and treatment of diseases. They also serve as enablers of clinical decision support systems, in particular Computer Aided Diagnosis…

Machine Learning · Computer Science 2022-03-01 Gerome Vivar , Anees Kazi , Hendrik Burwinkel , Andreas Zwergal , Nassir Navab , Seyed-Ahmad Ahmadi

In this work, we consider the matrix completion problem, where the objective is to reconstruct a low-rank matrix from a few observed entries. A commonly employed approach involves nuclear norm minimization. For this method to succeed, the…

Signal Processing · Electrical Eng. & Systems 2024-06-25 Hamideh. Sadat Fazael Ardakani , Sajad Daei , Arash Amini , Mikael Skoglund , Gabor Fodor

Originally developed for imputing missing entries in low rank, or approximately low rank matrices, matrix completion has proven widely effective in many problems where there is no reason to assume low-dimensional linear structure in the…

Statistics Theory · Mathematics 2021-05-06 Yunhua Xiang , Tianyu Zhang , Xu Wang , Ali Shojaie , Noah Simon

This paper deals with the geometric multi-model fitting from noisy, unstructured point set data (e.g., laser scanned point clouds). We formulate multi-model fitting problem as a sequential decision making process. We then use a deep…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Zongliang Zhang , Hongbin Zeng , Jonathan Li , Yiping Chen , Chenhui Yang , Cheng Wang

We consider the problem of matrix completion with side information (\textit{inductive matrix completion}). In real-world applications many side-channel features are typically non-informative making feature selection an important part of the…

Machine Learning · Statistics 2018-10-09 Ivan Nazarov , Boris Shirokikh , Maria Burkina , Gennady Fedonin , Maxim Panov

Low-rank matrix completion concerns the problem of estimating unobserved entries in a matrix using a sparse set of observed entries. We consider the non-uniform setting where the observed entries are sampled with highly varying…

Machine Learning · Statistics 2024-03-04 Xumei Xi , Christina Lee Yu , Yudong Chen

We consider a generalization of low-rank matrix completion to the case where the data belongs to an algebraic variety, i.e. each data point is a solution to a system of polynomial equations. In this case the original matrix is possibly…

Machine Learning · Statistics 2017-03-29 Greg Ongie , Rebecca Willett , Robert D. Nowak , Laura Balzano

Matrix completion is fundamental for predicting missing data with a wide range of applications in personalized healthcare, e-commerce, recommendation systems, and social network analysis. Traditional matrix completion approaches typically…

Machine Learning · Computer Science 2025-03-19 Patrick Hytla , Tran T. A. Nghia , Duy Nhat Phan , Andrew Rice

Graphical models for structured domains are powerful tools, but the computational complexities of combinatorial prediction spaces can force restrictions on models, or require approximate inference in order to be tractable. Instead of…

Machine Learning · Computer Science 2013-09-27 Stephen Bach , Bert Huang , Ben London , Lise Getoor

In this paper, we introduce the first method that (1) can complete kernel matrices with completely missing rows and columns as opposed to individual missing kernel values, (2) does not require any of the kernels to be complete a priori, and…

Machine Learning · Computer Science 2016-02-09 Sahely Bhadra , Samuel Kaski , Juho Rousu

This study addresses the challenge of accurately identifying multi-task contention types in high-dimensional system environments and proposes a unified contention classification framework that integrates representation transformation,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-29 Xiao Yang , Yinan Ni , Yuqi Tang , Zhimin Qiu , Chen Wang , Tingzhou Yuan

Finding corresponding pixels within a pair of images is a fundamental computer vision task with various applications. Due to the specific requirements of different tasks like optical flow estimation and local feature matching, previous…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Songyan Zhang , Xinyu Sun , Hao Chen , Bo Li , Chunhua Shen

We solve the Matrix Completion (MC) problem based on manifold optimization by incorporating the side information under which the columns of the intended matrix are drawn from a union of low dimensional subspaces. It is proved that this side…

Optimization and Control · Mathematics 2019-08-20 Mohamad Mahdi Mohades , Mohammad Hossein Kahaei

We propose a manifold matching approach to generative models which includes a distribution generator (or data generator) and a metric generator. In our framework, we view the real data set as some manifold embedded in a high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Mengyu Dai , Haibin Hang

This paper addresses the problem of low-rank distance matrix completion. This problem amounts to recover the missing entries of a distance matrix when the dimension of the data embedding space is possibly unknown but small compared to the…

Optimization and Control · Mathematics 2013-04-26 B. Mishra , G. Meyer , R. Sepulchre

Graph matching is an important and persistent problem in computer vision and pattern recognition for finding node-to-node correspondence between graph-structured data. However, as widely used, graph matching that incorporates pairwise…

Computer Vision and Pattern Recognition · Computer Science 2019-01-17 Fu-Dong Wang , Gui-Song Xia , Nan Xue , Yipeng Zhang , Marcello Pelillo

Knowledge graph completion (KGC) aims to discover missing relations of query entities. Current text-based models utilize the entity name and description to infer the tail entity given the head entity and a certain relation. Existing…

Computation and Language · Computer Science 2023-10-20 Irene Li , Boming Yang

Data association across frames is at the core of Multiple Object Tracking (MOT) task. This problem is usually solved by a traditional graph-based optimization or directly learned via deep learning. Despite their popularity, we find some…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jiawei He , Zehao Huang , Naiyan Wang , Zhaoxiang Zhang